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POST UTME IMS U 2018 Physics | Objective

Are you preparing for POST UTME IMS U exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2018 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 x 10^-10 F, what is the charge on the plates?

A. 4.0 x 10^-10 C

Correct B. 8.0 x 10^-10 C

C. 1.6 x 10^-9 C

D. 3.2 x 10^-9 C

Correct Answer: B

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Question 2

A particle of mass 2.0 kg is moving in a circular path of radius 3.0 m with a cons\tant speed of 4.0 m/s. What is the magnitude of the net force acting on the particle?

A. 6.0 N

B. 12.0 N

Correct C. 24.0 N

D. 48.0 N

Correct Answer: C

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Question 3

A light ray passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 4

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in parallel. What is the total resis\tance of the circuit?

A. 2.0 Ω

B. 4.0 Ω

C. 6.0 Ω

Correct D. 8.0 Ω

Correct Answer: D

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Question 5

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. What is the maximum height reached by the projectile?

A. 10.0 m

Correct B. 20.0 m

C. 30.0 m

D. 40.0 m

Correct Answer: B

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Question 6

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. The capaci\tance is 2.5 nF. If a potential difference of 10 V is applied across the plates, what is the magnitude of the electric field between the plates?

Correct A. 500 V/m

B. 250 V/m

C. 1000 V/m

D. 2000 V/m

Correct Answer: A

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Question 7

A particle of mass 0.5 kg is attached to a spring with spring cons\tant 100 N/m. The particle is displaced by 0.2 m from its equilibrium position and released from rest. What is the angular frequency of the resulting simple harmonic motion?

A. 10 rad/s

Correct B. 20 rad/s

C. 5 rad/s

D. 15 rad/s

Correct Answer: B

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Question 8

A radioactive sample has an initial activity of 100 Bq. After 2 hours, the activity has decreased to 50 Bq. What is the half-life of the radioactive sample?

A. 1 h

Correct B. 2 h

C. 4 h

D. 8 h

Correct Answer: B

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Question 9

A magnetic field of magnitude 0.5 T is directed along the x-axis. A current of 2 A flows in a wire loop of radius 0.1 m. What is the magnitude of the magnetic moment of the loop?

Correct A. 0.02 A m^2

B. 0.04 A m^2

C. 0.06 A m^2

D. 0.08 A m^2

Correct Answer: A

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Question 10

A beam of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 11

A 2.5 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block as it passes through the equilibrium position.

A. 0.5 m/s

Correct B. 1.0 m/s

C. 1.5 m/s

D. 2.0 m/s

Correct Answer: B

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Question 12

A particle moves in a circular path with a cons\tant speed of 5 m/s. If the radius of the circle is 2 m, calculate the magnitude of the acceleration of the particle.

A. 2.5 m/s^2

Correct B. 5.0 m/s^2

C. 7.5 m/s^2

D. 10.0 m/s^2

Correct Answer: B

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Question 13

A heat engine operates between two reservoirs at temperatures 500 K and 300 K. If the engine absorbs 100 J of heat from the high-temperature reservoir, calculate the efficiency of the engine.

A. 0.25

B. 0.33

Correct C. 0.40

D. 0.50

Correct Answer: C

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Question 14

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the air resis\tance is negligible, calculate the maximum height reached by the projectile.

A. 10.0 m

B. 15.0 m

Correct C. 20.0 m

D. 25.0 m

Correct Answer: C

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Question 15

A quantum particle has a wave function given by $ \psi(x) = Ae^{-\alpha x^2} $. If the average value of the position of the particle is 0.5 m, calculate the value of the parameter $ \alpha $.

A. 0.01 m^{-2}

B. 0.05 m^{-2}

Correct C. 0.10 m^{-2}

D. 0.20 m^{-2}

Correct Answer: C

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Question 16

A 50 Hz, 200 V AC supply is connected to a series RLC circuit with R = 10 Ω, L = 0.1 H, and C = 10 × 10^$ -6 $ F. The circuit has a phase angle of 30°. Calculate the impedance of the circuit.

Correct A. ( 15.9 Omega )

B. ( 17.3 Omega )

C. ( 19.7 Omega )

D. ( 21.9 Omega )

Correct Answer: A

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Question 17

A source of sound produces a wave with a frequency of 200 Hz and a wavelength of 1.5 m. Calculate the speed of the wave.

A. $ 300 , \text{m/s} $

B. $ 400 , \text{m/s} $

Correct C. $ 500 , \text{m/s} $

D. $ 600 , \text{m/s} $

Correct Answer: C

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Question 18

A particle moves in a straight line with an initial velocity of 5 m/s and an acceleration of 2 m/s^2. Calculate the velocity of the particle after 4 seconds.

A. $ 9 , \text{m/s} $

B. $ 10 , \text{m/s} $

Correct C. $ 11 , \text{m/s} $

D. $ 12 , \text{m/s} $

Correct Answer: C

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Question 19

A magnetic field of 0.5 T is applied to a coil of 100 turns and a resis\tance of 10 Ω. Calculate the induced emf in the coil.

A. $ 5 , \text{V} $

B. $ 10 , \text{V} $

Correct C. $ 15 , \text{V} $

D. $ 20 , \text{V} $

Correct Answer: C

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Question 20

A wave has a frequency of 50 Hz and a wavelength of 10 m. Calculate the speed of the wave.

A. $ 500 , \text{m/s} $

Correct B. $ 600 , \text{m/s} $

C. $ 700 , \text{m/s} $

D. $ 800 , \text{m/s} $

Correct Answer: B

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Question 21

A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced by a dis\tance $x_0$ from its equilibrium position and released from rest. Assuming the motion is simple harmonic, find the time $t$ at which the particle's velocity is $v = \frac{dx}{dt} = -omega x_0 \sqrt{1 - \cos^2 omega t}$, where $omega = \sqrt{\frac{k}{m}}$.

Correct A. t = \frac{\pi}{2\omega}

B. t = \frac{\pi}{4\omega}

C. t = \\frac{3\\pi}{4\\omega}

D. t = \frac{\pi}{\omega}

Correct Answer: A

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Question 22

A beam of light passes from air into a glass of re\fractive index $n$. If the angle of incidence is $\theta_i$, find the angle of re\fraction $\theta_r$ u\sing Snell's law.

Correct A. \theta_r = \arc\sin \left$ \frac{n_1 \sin \theta_i}{n_2} \right $

B. \theta_r = \arc\sin \left$ \frac{n_2 \sin \theta_i}{n_1} \right $

C. \theta_r = \arc\sin \left$ \frac{n_1 \sin \theta_i}{n_1 + n_2} \right $

D. \theta_r = \arc\sin \left$ \frac{n_2 \sin \theta_i}{n_1 + n_2} \right $

Correct Answer: A

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Question 23

A circuit consists of a resistor $R$ and an inductor $L$ connected in series. The circuit is driven by a voltage source $V_0$ with a frequency $f$. Find the impedance $Z$ of the circuit u\sing the formula $Z = \sqrt{R^2 + $ X_L - X_C $^2}$, where $X_L = 2\pi f L$ and $X_C = \frac{1}{2\pi f C}$.

A. Z = \sqrt{R^2 + $ 2\pi f L $^2}

B. Z = \sqrt{R^2 + \left$ \frac{1}{2\pi f C} \right $^2}

Correct C. Z = \sqrt{R^2 + \left$ 2\pi f L - \frac{1}{2\pi f C} \right $^2}

D. Z = \sqrt{R^2 + \left$ 2\pi f L + \frac{1}{2\pi f C} \right $^2}

Correct Answer: C

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Question 24

A gas is contained in a cylinder of volume $V$ with a movable piston. The gas is heated, cau\sing its pressure to increase from $P_1$ to $P_2$. Find the work done $W$ by the gas u\sing the formula $W = \int_{V_1}^{V_2} P dV$.

Correct A. W = P_2 $ V_2 - V_1 $

B. W = P_1 $ V_2 - V_1 $

C. W = \frac{1}{2} $ P_2 + P_1 $ $ V_2 - V_1 $

D. W = \frac{1}{2} $ P_2 - P_1 $ $ V_2 - V_1 $

Correct Answer: A

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Question 25

A beam of light passes through a prism of angle $\theta$ and is re\fracted at an angle $\phi$. Find the angle of deviation $\delta$ u\sing the formula $\delta = \theta + \phi - \arc\sin \left$ \frac{\sin \theta}{n} \right $$, where $n$ is the re\fractive index of the prism.

A. \delta = \theta + \phi - \arc\sin \left$ \frac{n \sin \theta}{n + 1} \right $

B. \delta = \theta + \phi - \arc\sin \left$ \frac{n \sin \theta}{n - 1} \right $

C. \delta = \theta + \phi - \arc\sin \left$ \frac{\sin \theta}{n + 1} \right $

D. \delta = \theta + \phi - \arc\sin \left$ \frac{\sin \theta}{n - 1} \right $

Correct Answer: VIEW ANSWER

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